Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 936, 'aut_gen_orders': [13, 3, 2, 2, 3, 2, 2, 3], 'aut_gens': [[1, 2, 6, 18], [13, 154, 88, 26], [17, 2, 6, 18], [109, 2, 6, 104], [55, 2, 6, 126], [3, 2, 6, 18], [1, 2, 6, 126], [109, 2, 6, 18], [155, 2, 6, 18]], 'aut_group': '2426112.a', 'aut_hash': 8128528744486036570, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 2426112, 'aut_permdeg': 31, 'aut_perms': [4353563485760117767070864092449240, 355567858948708415975799924210720, 403292266707863054906874120, 1, 585476145800678818816796508404400, 16, 7, 7062929330411409958208853019192440], 'aut_phi_ratio': 33696.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 54, 2, 1], [3, 2, 13, 1], [4, 2, 1, 1], [6, 2, 13, 1], [12, 2, 26, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^3.(D_4\\times \\GL(3,3))', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 936, 'autcentquo_group': '606528.a', 'autcentquo_hash': 6817351772196718478, 'autcentquo_nilpotent': False, 'autcentquo_order': 606528, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times C_3^3:\\GL(3,3)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 54, 2], [3, 2, 13], [4, 2, 1], [6, 2, 13], [12, 2, 26]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': '108.44', 'commutator_count': 1, 'commutator_label': '54.15', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 147, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 54, 1, 2], [3, 2, 1, 13], [4, 2, 1, 1], [6, 2, 1, 13], [12, 2, 2, 13]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 420, 'exponent': 12, 'exponents_of_order': [3, 3], 'factors_of_aut_order': [2, 3, 13], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '108.44', 'hash': 147, 'hyperelementary': 1, 'id': 50092, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 3, 3, 6], 'inner_gens': [[1, 4, 12, 198], [5, 2, 6, 18], [13, 2, 6, 18], [37, 2, 6, 18]], 'inner_hash': 44, 'inner_nilpotent': False, 'inner_order': 108, 'inner_split': True, 'inner_tex': 'C_3^2:D_6', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 4], [2, 53]], 'label': '216.147', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C3^2:D12', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 7, 'number_characteristic_subgroups': 7, 'number_conjugacy_classes': 57, 'number_divisions': 44, 'number_normal_subgroups': 87, 'number_subgroup_autclasses': 24, 'number_subgroup_classes': 224, 'number_subgroups': 1372, 'old_label': None, 'order': 216, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 109], [3, 26], [4, 2], [6, 26], [12, 52]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 312, 'outer_gen_orders': [2, 2, 13], 'outer_gen_pows': [0, 54, 0], 'outer_gens': [[1, 2, 6, 126], [55, 4, 88, 20], [1, 82, 2, 172]], 'outer_group': '22464.a', 'outer_hash': 5045075831251158205, 'outer_nilpotent': False, 'outer_order': 22464, 'outer_permdeg': 17, 'outer_perms': [7, 532868964496, 251386351298640], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_2\\times \\GL(3,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 13, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 27], [4, 13]], 'representations': {'PC': {'code': 6879419115589431524889, 'gens': [1, 2, 3, 4], 'pres': [6, -2, -3, -3, -2, -2, -3, 49, 218, 4755, 69, 5404, 88, 5189]}, 'GLZN': {'d': 2, 'p': 66, 'gens': [433456, 12470437, 3911542, 288949, 12362371, 15475627]}, 'Perm': {'d': 13, 'gens': [482635465, 961632000, 1520467200, 147, 45604, 80643]}}, 'schur_multiplier': [3, 3, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_3^2:D_{12}', 'transitive_degree': 108, 'wreath_data': None, 'wreath_product': False}